The cannon at a different angle: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball is fired with a muzzle velocity of 0.15 mile per second, it will...

The cannon at a different angle: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball is fired with a muzzle velocity of 0.15 mile per second, it will follow the graph of y = x √ 3 − 160x2 /297, where distances are measured in miles.

a. Make a graph that shows the path of the cannonball.

b. How far downrange does the cannonball travel? Explain how you got your answer.

 c. What is the maximum height of the cannonball, and how far downrange does that height occur?